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Resonance

A Search of the Pilgrim soul: Fractals

By Katherine D. GrahamPublished 4 years ago Updated 4 years ago 16 min read

Kat and Bob were looking over the transcript of a recent interview in which Kat had participated. She had initially refused her friend John, saying, “ I can never remember all the details of what I research."

Bob had encouraged her to proceed. “You are an informed lay preson, trained in science, trying to inform interested lay people. You get at least 10% of the information correct! ”

Kat laughed. “That’s the expected loss that happens through trophic levels.” Kat knew Bob supported her writing endeavours that bridged the gap between those ignorant of science and the narrow specialists. She said to Bob, “ Do you mind listening to this if I read out loud? I need to decide how to outline my next steps.”

“Of course, proceed” Bob answered.

John: Dear audience, welcome to the first of a series of presentations by our guest speaker, the author of several short stories and books that bring science to the layman. Welcome Kat. Thank you for joining us this week, as part of our initiative to deal with change.

Kat: My pleasure.

John: This is a time of change. We are in the third year of a pandemic. Why is it that you suggest that this is not a surprising event?

Kat: Since mankind formed agrarian communities during the hunter-gather days, and began trading, conditions have not only favoured rapid changes in culture but the spread of disease and plagues.

John: Are we dealing with the apocalypse?

Kat: Perhaps. The word 'Apocalypse' means 'to unveil'. It is often associated with the disclosure or revelation of the unknown. The world is changing at unprecedented rates, and much of what we once understood about how things function has become an illusion. Rapidly increasing populations, technologies and resource utilization - including how to obtain, access and manipulate information - have shifted the balance and often resulted in competition and intentional and unintentional consequences that can lead to cataclysmic consequences. We do our best to put the remaining pieces back together but little stays the same.

John: So what does stay the same?

Kat: The eyes of the night sky: the stars and planets and signs from the heavens.

John: Can you share with the audience information about these signs?

Kat: Sacred knowledge of predictable cycles of stars and planets, meteors and asteroids, has prepared us to look for the regular appearances of these signs and what is unusual. Throughout the eons, such knowledge has been shrouded in codes of mathematics and physics. We have come a long way from when meteors were considered the warning of the third angel of the Apocalypse, sounding his trumpet. Science has measured that about 17 meteors with a weight of about 49 tons fall like a great blazing torch from the sky each day. They do indeed change the pH of the waters.

John: It appears that astrology and biology are embedded in different mythologies.

Kat: The Bible, Koran and other Holy Writs literally describe a heavenly reality. The Book of Enoch, whose name means 'instructor', shared knowledge of the Book of the Watchers- also called the giants - who studied the stars and planets to recognize and predict weather. We have our own Watchers. In November 2021, Comet Leonard returned after 80 000 years, passing near the evening star Venus in the constellation Taurus. The Big Dipper pours meteors out of the Quadrantid belt each year this time.

The study of the stars has continued to develop, using predictable information to prepare for what might happen. Meteorite bombardment has occurred since the early stages of the universe. Meteors have caused several extinction events on Earth. In November 2021, NASA sent out DART, a double asteroid redirection test to see if it can redirect asteroids from Earth impact.

John: Life is always changing. So what is different during our era?

Kat: Life is a manifestation of specific energetic information that has been transferred from the source of fluctuation energy, thought to exist in the primordial void. This energy made the universe, created the stars, the elements and all living things that, at any one point in time, are the ultimate result of competition and cooperation. There is chaos and order. Some forms of order form fractals, with self- similar repeating units.

Self-similarity happens when patterns of interactions from a source cause a complex resonance with the same ratios repeating within a multifluidic, super- symmetrical fractal universe, that holds one face seen in many ways. DNA, cells and organs including the brain and the mind all obey laws of fractal progression, a symmetry that forms a harmonious whole.

John: Can you elaborate on how humans can sense this harmony?

Kat: Vibrational principles are recognized in musical octaves. Sacred music such as Gregorian chants hold the harmonious six-tone solfeggio frequencies that are thought to vibrate the cells and impart spiritual blessings of comfort and healing. Many vibrational therapies work to open fractal links to emotional responses. Pleasant responses can trigger emotions that lead to addictive behaviour. Bad memories, accompanied by fear, guilt or anxiety, can do the same. Rewiring the brain is essential to reduce damage from repressed pathways that fester in the unconscious and disturb the harmony that allows for fractal synchronicity.

John: Is divination the result of knowing patterns?

Kat: Johannes Kepler was an Imperial Court mathematician in Prague from 1595- 1624. He applied his knowledge of planetary configurations to compile prognostications, sometimes associated with weather. This increased the chance of successful military invasions.

Kepler did not view science and spirituality as mutually exclusive.He was trained as a Pythagorean mystic. He believed that everything in nature is arranged according to measure and number, and that mathematical relationships are at the base of all nature.

Given his view of universal unity, with mathematical order, he believed it reasonable to expect a connection in characteristics between the origins of the universe and the position of the planets and stars at the time of birth. He referred to astrology as the “foolish daughter” and astronomy as the “wise mother.” He considered that the planets moved as a spherical pendulum.

John: How does this pendulum work?

Kat: A pendulum swings between the extremes. Extremes form all or none responses and cause attraction and repulsion of subatomic forces and positive and negative atoms. Kepler argued between extreme positions for and against astrology. In his treatise, ‘The Intervening Third Man’, he advocated for a position between theologians, physicians and philosophers. Robert Browning referred to this as ‘the dangerous edge of things’.

I argue for the wisdom of the ancients, to follow the Golden Mean, the middle way. According to Newton, every action has an equal and opposite reaction. Currently there are many polar divisions. Extremes separate life from death. The Death Card in Tarot seldom signals physical death. It is interpreted as a time of upheaval and loss of foundational structures. However, mathematics suggest that the Mandelbrot set - a large figure that holds similar smaller units - is a Fractal that holds foundational structure. Fractals might explain unity, and synchronous correlations that can occur between spatially-separate events.

We are sleepwalkers who look for the middle way in a transitional state of consciousness, between wakefulness and sleep where we can imagine sensations that can cause physical knee jerks. We are on a path, charting the coastline of unknown territory in a giant fractal world, where answers to questions and changes at one level transpose to other levels through resonance.

John: Please describe this resonance.

Kat: Ernst Chladni, the father of acoustics, was a musician and inventor. He made sound visible in sand etchings. Vibrations of specific notes formed distinctive resonance patterns through the interference of waves. At Roslyn chapel, Freemasons are said to have carved the distinct Chladni wave patterns of the notes of a motet that held the forbidden tones of the unresolved Devil’s triabolus in music.

John: Are Chladni patterns found other places?

Kat: Chladni patterns form in the cosmic background radiation created when the universe began 13.82 billion years ago. Super-positioning of spherical waves of different frequencies formed as light transferred to sound that interacted with gravitational attraction and created ordinary matter. Puffer fish form Chladni patterns as part of their mating rituals. A pendulum swinging over sand during an earthquake forms a rose-like shape in the sand.

John: Kat, thank you for this week’s presentation. Let’s end the program and take a few seconds to hear this musical rendition of the 'Third Man' with Orson Welles as Harry Lime, a man with many faces.

Kat looked at Bob and muttered 'Well?" with her voice somewhat strained from reading He gave her a thumbs up and set about preparing one of her favourite dishes. Soon they were each enjoying a ramekin with ham, topped with an egg, spinach and a dollop of cream he had baked in the oven.

After lunch, they relaxed. She felt blessed. Bob had opened up the world for her. The two had found their way together on a path wide enough for both of them to flourish. They were sufficiently comfortable to escape the racket of the world. They could avoid the fraudulent schemes and confusing, clattering clamour of life. They were partners who were called to do their best to better humanity. Both had faced enough struggles to learn the strength and weakness of ingenuity and clever tricks. They understood that fraud, in human artifice, can easily sway individuals away from accepting the costly responsibilities of rational resolutions to problems. Short-sighted visions seldom encouraged a sustainable harmonic resonance for the whole system.

Bob looked up from what he was reading. “ Did you know Ethiopia originated around the 10th century BCE? It was the first civilization in Africa and the world. Over the past five centuries, the sociocultural evolution of Ethiopians has led to two opposing systems: the Gada system of national, federal and local rule; and the autocratic tribal monarchy. Both systems uphold traditional values of moral law intended to enable a harmonious life. Extremes in idealism have formed a double-edged sword.”

Kat thought about the double-edged axe that united the real and imaginary in her fractal world of magical realism. She looked to find the balance where unity could occur in myth and the theoretical world of what she understood of physics. In myth, the double axe was the labrys, the Star Axe carried by the Labyades, the matriarchal Amazon warrior women. Carl Jung believed it was a mark of the Great Mother. In physics, intersecting resonating rings overlap, forming the Vesica Pisca that join together in the flower of life. Each intersecting space is shielded by the double-edged sword that is dangerous only when it swings. In plants, it reminded her of the stomata in leaves that regulate movement of material throughout the plant. The labrys is associated with the path of the labyrinth, that depends on choices beyond linear time and the distance between two points.

The week passed, with both Kat and Bob weaving in and out of each other’s lives as they pursued their own interests and shared the joy that is possible in daily life. It had snowed and the rampaging spread of the Omicron Covid virus had limited Kat’s activities. She prepared her script for the next interview.

John: Welcome back Kat. Last week we left off talking about Kepler. Shall we pursue the concept of his being a double agent?

Kat: Kepler’s astrological readings let him establish the Three Laws of Planetary Motion and construct the Mysterium Cosmographicum, that showed the recurrence of conjunction patterns of Saturn and Jupiter. In a unique show of brilliance, Kepler determined the off-centered elliptic of planets around the Sun. As a scientist, Kepler did more than interpret stars; he shifted awareness by providing facts. These facts aligned with the myth of the Sanskrit Hiranyagarbha Golden Egg that passes through fractal levels of reality.

John: Interesting. Can you give an example of a myth that aligns into a fractal?

Kat: Let’s take our society's traditional North American Christmas tale, Frosty the Snowman. Like many of the heroes of myths of solstice, he appears on Christmas Day and comes to life, saying ‘Happy Birthday’. Then he sings of the promise of transformation and return. It helps children accept transitions are possible in the dynamic shifting waves of time.

John: Where are you going to lead us by dangling the carrot on Frosty’s nose?

Kat: Kepler searched for the cause of the formation of crystal structures at the core of life. He began with the study of a flat star-shaped snowflake. The word Snowflake in low German, is ‘nix’. In English ‘nix’ means nothing and expresses denial. In the Aztec language of Nauhatyl, Nix is translated as ‘it is’ or ‘they are’, referring to ancestors who lived in the Age of Air, Water, Fire or Wind. In myth, Nixie are water sprites that play in the waves in any state of matter.

Every snowflake is unique. A Koch snowflake is a mathematical representation of a six-sided fractal that starts with a straight line divided into three equal parts. The middle section is the base for an equilateral triangle that is, again, divided in a self-similar way forming a fractal. The same foundations change through a process of combinatorics, that can lead to geometrical optimization. This is at the heart of smart technology.

John:. So how are fractals associated with divination?

Kat: The answer is written in the stars and seen in the cards. Thoth, the Egyptian god of written knowledge, engraved imagery in hieroglyphics that were used for the first Tarot deck. They hold archetypical images that transcend linguistic, cultural, geographic and temporal barriers. Such images were used in decks of playing cards.

As early as the 9th century, Chinese playing card decks were used in games that were related to currency. The decks were simplified to 52 cards in four suits that resemble a calendar. In 1781, Antoine Court de Gebelin created the game Solitaire, that translates as the ‘sun is silent’. The game originated at the same time as the maunder minimum, when minimal sunspot activity was noted and was concurrent with the death of Louis XIV, the self-proclaimed sun king.

John: How did fortune telling relate to the sun?

Kat: The movement of the sun was used to foretell seasonal changes. Strangely, less frequently mentioned is that the cycle of the star, Sirius, more accurately reflects the annual orbital period of the Earth.

John: Please tell our audience more about the Sirius.

Kat: Sirius is said to be Isis, the Sun behind the Sun. She is adorned by a star. The Egyptian sky goddess Nut is adorned with five-pointed stars, that represent the souls of the dead. The symbol of the star represents Shekinah, the dwelling place of God in Wisdom Books of the Old Testament. Rosicrucians call Shekinah the ‘Glory of God’ and 'the voice of god as heard in the night sky.'

In myths, Sirius is the Cosmic mother and the consort to the sun God. The Stele of Revealing suggests Sirius is Nut, the sky goddess and Queen of the night, stretching from horizon to horizon, holding the winged-solar disc of Horus.

The 300-degree angle of the light of Sirius at sunset and sunrise - during the winter and summer solstice - forms the North/ South axis that joins with the East/West axis of the 40-year conjunction cycle of Venus with Mercury, the Sun and Earth is thought to have formed the star of David, that was used as a guide by the Israelites in the desert. Some sources say this is the information within the Arc of the Covenant.

Sirius is associated with Venus. The overlapping orbits of Venus form Vesica Pisca and become the vague shape a five- petalled rose that marks time over eight years when it adorns Sirius. Venus also forms a pentagram that in some circles is a symbol of protection that drives away evil and in others is considered evil. In Tarot, the Devil card is often associated with the pentagram.

Myths offer opposing messages. The Egyptian five-pointed star amulet, known as Seba, means ‘learning’ or ‘ discipline’ and is associated with doorways and gates.

John: Are you suggesting that knowledge was considered evil?

Kat: Perhaps. It's possible. When Eve ate the apple from the Tree of Knowledge it did not end well.

John: That gives new insight to 'Apple' computers.

Kat: Indeed! In some cultures, the apple is the forbidden fruit of unrestrained knowledge in the Garden of Eden. Other cultures consider the Tree of Wisdom holds the fruit that makes the nectar of immortality. Fruits that form on the Tree of Life and Wisdom are in the rose family. They have a five-point star on the seed case.

John: Let’s get back to how astrological myths reflect familiar astronomical patterns.

Kat: Neith, the mother of the sun, was worshipped at Sais, a place where there was said to be a search for the sacred blue flower known from birth. The colour blue represents the soul or spirit in ancient Egypt, whose voice is spoken of through the blue throat chakra. Blue blood represents nobility.

The blue vaulted sky is known as a Rose. Persian texts of the Sufi Summa theological describe the mystic rose garden, as the planets and the heavens. German Romanticism is based on a translation of a book written by Novalis who describes the Blue flower as the five petalled path that symbolizes nature’s artistic perfection.

The rose is a symbol of mathematical order. The rose like orbit of Venus, called the Mystic Rose, adorns the five-pointed star of Sirius, that marks the passing of a year more accurately than the Sun. Sirius is associated with the constellation Orion and solstice heroes with stories of resurrection.

John: A rose is a rose by any name...

Kat: The symbol of the rose permeates nature, myth and architecture. Many churches have a rose window - also called a Catherine window - that has an east west orientation suggesting an awareness of the path of Sirius across the southern sky. The rose window holds the pattern of the ten concentric spheres with four cardinal axes and the tree of life in the centre. The window can be traced onto the labyrinth of many churches.

John: My heavens! Are there more resonating meanings of the rose?

Kat: In Greek myth, the rose was designed by the Flower goddess Chloris, also known as Flora, who was touched with the beauty of Aphrodite who herself was born of the first white rose, and whose sorrow and blood created the red rose. Dionysius created an intoxicating nectar with the aroma of a rose. The rose, was used to bribe Hippocrates, the goddess of silence. Anything “sub Rosa” indicate the message is to remain a silent secret.

The rose provides a hint of what separates mankind from beast. We have gained skills to understand how natures patterns reform and resonate over time. Rose patterns repeat.

John: How do these patterns form?

Kat: Rose patters arise from pressure differentials between interacting wavelengths. The energy channeled at a still point of absolute vector equilibrium can take many forms. A rose is formed in gypsum and barite other evaporate mineral formations with high concentrations of potassium. Guido Grandi mathematically identified the rose or rhodonea curve in 1723. Rose curve petal shapes are mathematically defined by a sinusoid curve plotted with polar coordinates. When equilibrium is lost, the atom is jettisoned into chaos and then becomes part of an infinite chaos loop that leads to creatively reorganizing order. The position of the particle is not definite, but can be described by the electron wave function that has definite magnitude and infinite rotational symmetries.

John: Am I correct in thinking that a rose represents a mathematically generated shape?

Kat: Yes, the rose is an archetypical symbol that is part of grimoire that passes on fractal pieces of knowledge through theory, technique and harmony. At the macroscopic level, a small fraction of the Sun’s energy, in the form of particulate matter, is ejected from the solar surface in the form of ionized plasma that holds the Sun’s rotating magnetic field. This toroidal magnetic ring current moves from the equator of the sun, through the interplanetary medium of the Solar system, to the Earth.

Sunlight scattered by ionized plasma dust can become trapped in a global phase shift. Every 25 days, charged particles interact with the solar wind that flows from the sun and forms an Archimedean spiral, also called the Parkers spiral. The spiral warps, waves and folds like a rose because of the magnetic field dipole axis, the tilt angle and Sun’s rotation. The magnetic fields of the solar winds and the geomagnetic fields of Earth cross and form and x point of intersection, where small, short-lived superconducting tunnel junctions form portals that leave electron diffusion signposts with the ‘Casimir effect,’ a topic for another time.

John: You have summarized a huge amount of material. Can you offer some concluding remarks for our listeners?

Kat: We hold the spirit of ancestors, but the wisdom of elders sits beneath a trap door of mathematical and philosophical abstractions. Mankind has averted devastation by meteorites and pandemics yet there is growing scepticism toward grand narratives and ideologies. The purity of intentions for how humanity uses intelligence often lacks connections that create sustainable stability in the chaos.

We live as but pieces of forces in a chaotic fluctuating void, where order can reappear from interactions, creating uniquely constructed fractals. Macroscopic biological mechanisms trace back to microscopic molecular events, and origins that run far deeper.

I remain an optimist. Change always happens, but I see beauty can reappear in truth, that is more than a romantic longing. Truth is defined within the miracles of nature that repeat.

I like to believe that wheels spin within wheels, and that the golden egg is found within another golden egg. The rose is part of the spiritual blueprint of the universal macrocosm and subatomic microcosm. It creates asynchronous particles that move along straight-line vectors and transform into a crazy circle, where smaller circles roll within each other.

In my world of magical realism, I like to think that we are connected to more than we can fathom. It seems reasonable to believe we can connect the gears of independent wheels and make things work smoothly together. We need to find out how to establish the balance of polar extremes, not eliminate them. The difference of polar extremes is accepted and respected through many ancient cultures. Many suggest we need to find balance based on finding connections. The differences form the energy of the spin, that is needed to connect to a superconscious that appears reasonable and predictable in a fractal world.

John” Thanks Kat. You gave me and the audience lots to think about.

Kat knew there were loose ends and unfinished thoughts, but she gave her draft to Bob.

An hour later Bob came to discuss the proposed script. His uncharacteristic fidgeting unnerved Kat. He reached behind his back and smiled, then handed her a bouquet of multicoloured roses saying, "That's the way it's done."

Fantasy

About the Creator

Katherine D. Graham

My stories usually present facts, supported by science as we know it, that are often spoken of in myths. Both can help survival in an ever-changing world.

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